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Popular >

simplify (20b^5)/((4b^3)^4)

Solution

simplify

\frac{20 b ^{5}}{( 4 b ^{3} ) ^{4}}

Solution

\frac{5}{64 b ^{7}}

Solution steps

\frac{20 b ^{5}}{( 4 b ^{3} ) ^{4}}

Simplify

(4 b^{3})^{4} : 4^{4} b^{12}

= \frac{20 b ^{5}}{4 ^{4} b ^{12}}

Factor the number:

20 = 4 \cdot 5

= \frac{4 \cdot 5 b ^{5}}{4 ^{4} b ^{12}}

\frac{4}{4 ^{4}} = \frac{1}{4 ^{3}}

= \frac{5 b ^{5}}{4 ^{3} b ^{12}}

Simplify

\frac{b ^{5}}{b ^{12}} : \frac{1}{b ^{7}}

= \frac{5}{4 ^{3} b ^{7}}

4^{3} = 64

= \frac{5}{64 b ^{7}}

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Frequently Asked Questions (FAQ)

What is (20b^5)/((4b^3)^4) ?
The solution to (20b^5)/((4b^3)^4) is 5/(64b^7)